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What is the average rate of change for the sequence shown below?​

What is the average rate of change for the sequence shown below?​-example-1

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Answer:

-1/2

Explanation:

If you connected the dots here you would have a straight line. The average rate of change for a straight line is also known as the slope. Slope, by definition, is rise over run (although rise doesn't necessarily mean "up"; it could also mean down, as it does here). From one point to the next in our graph, we go down 1 unit (-1) and to the right 2 units (+2). Therefore, the slope of the line is -1/2.

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